РОЗДІЛ 2. Раціональні вирази - Вправи 50 - 200 » 132 (2)

2) 1/(x^2+3x+2), 1/(x^2+5x+6), 1/(x^2+7x+10) x² + 3x + 2 = x² + x + 2x + 2 = x(x + 1) + 2(x + 1) = (x + 1)(x + 2); x² + 5x + 6 = x² + 2x + 3x + 6 = x(x + 2) + 3(x + 2) = (x + 2)(x + + 3); x² + 7x + 10 = x² + 2x + 5x + 10 = x(x + 2) + 5(x + 2) = (x + 2)(x + 5). 1^(\(x+3)(x+5))/((x+1)(x+2)), 1^(\(x+1)+x+5))/((x+2)(x+3)), 1^(\(x+1)(x+3))/((x+2)(x+5)); ((x+3)(x+5))/((x+1)(x+2)(x+3)(x+5)), ((x+1)(x+5))/((x+1)(x+2)(x+3)(x+5)), ((x+1)(x+5))/((x+1)(x+2)(x+3)(x+5)); (x^2+8x+15)/((x+1)(x+2)(x+3)(x+5)), (x^2+6x+5)/((x+1)(x+2)(x+3)(x+5)), (x^2+4x+3)/((x+1)(x+2)(x+3)(x+5)).